What is the Least Common Multiple of 81207 and 81225?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 81207 and 81225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81207 and 81225, than apply into the LCM equation.

GCF(81207,81225) = 9
LCM(81207,81225) = ( 81207 × 81225) / 9
LCM(81207,81225) = 6596038575 / 9
LCM(81207,81225) = 732893175

Least Common Multiple (LCM) of 81207 and 81225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81207 and 81225. First we will calculate the prime factors of 81207 and 81225.

Prime Factorization of 81207

Prime Factorization of 81225

Now multiplying the highest exponent prime factors to calculate the LCM of 81207 and 81225.

LCM(81207,81225) = 3² × 7¹ × 1289¹ × 5² × 19²
LCM(81207,81225) = 732893175